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Simplifying 2x + -1(x + 7) = -37 + -5x Reorder the terms: 2x + -1(7 + x) = -37 + -5x 2x + (7 * -1 + x * -1) = -37 + -5x 2x + (-7 + -1x) = -37 + -5x Reorder the terms: -7 + 2x + -1x = -37 + -5x Combine like terms: 2x + -1x = 1x -7 + 1x = -37 + -5x Solving -7 + 1x = -37 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -7 + 1x + 5x = -37 + -5x + 5x Combine like terms: 1x + 5x = 6x -7 + 6x = -37 + -5x + 5x Combine like terms: -5x + 5x = 0 -7 + 6x = -37 + 0 -7 + 6x = -37 Add '7' to each side of the equation. -7 + 7 + 6x = -37 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = -37 + 7 6x = -37 + 7 Combine like terms: -37 + 7 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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